A159245 Numerator of Hermite(n, 8/9).

1, 16, 94, -3680, -104564, 711616, 96082696, 845632384, -95427659120, -2622782115584, 97169013147616, 5803611237607936, -80297401627324736, -12566978671947023360, -31965330924006479744, 27990462333191745304576, 525523151476403670651136

Offset: 0

Author

N. J. A. Sloane, Nov 12 2009

Keywords

• sign
• frac

Comments

Denominators are A001019. - Robert Israel, Jun 07 2018

Links

• Robert Israel, Table of n, a(n) for n = 0..450

Crossrefs

Cf. A001019, A159030, A159197.

Programs

Maple

f:= gfun:-rectoproc({-162*(x+1)*a(x) + 16*a(x+1)-a(x+2)=0,a(0)=1,a(1)=16},a(x),remember):
map(f, [$0..50]); # Robert Israel, Jun 07 2018

Mathematica

Numerator[Table[HermiteH[n,8/9],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 02 2011*)

PARI

a(n)=numerator(polhermite(n,8/9)) \\ Charles R Greathouse IV, Jan 29 2016

Formula

From Robert Israel, Jun 07 2018: (Start)

E.g.f.: exp(16*x-81*x^2).

a(n+2)=16*a(n+1)-162*(n+1)*a(n). (End)